Long-wave instability of periodic shear flows for the 2D Navier-Stokes equations
Event details
| Date | 26.09.2025 |
| Hour | 14:15 |
| Speaker | Dr. Paolo Ventura (EPFL - AMCV) |
| Location | |
| Category | Conferences - Seminars |
| Event Language | English |
Abstract:
I will present a recent result regarding the long-wave instability of general shear flows. Under the sole condition that the H^{-1} norm of the steady velocity profile exceeds the kinematic viscosity, we are able to prove the onset of unstable spectrum for the linearized Navier-Stokes equations.
This instability mechanism is derived through two independent approaches: a spectrum-oriented adaptation of Kato perturbative techniques and a conjugation-oriented normal-form reduction. Unlike in many other applications of these methods, both proofs deal with the presence of a peculiar term in the linearized operator that is singular with respect to the long-wave parameter. This work was carried out in joint collaboration with Maria Colombo, Michele Dolce and Riccardo Montalto.
Practical information
- General public
- Free
Organizer
- Prof. Maria Colombo
Contact
- Prof. Maria Colombo